Stable t-structures and homotopy category of Gorenstein-projective modules
N Gao - Journal of Algebra, 2010 - Elsevier
We study the homotopy category of unbounded complexes of Gorenstein-projective
modules with bounded relative homologies. We show the existence of a right recollement of …
modules with bounded relative homologies. We show the existence of a right recollement of …
When do Foxby classes coincide with the classes of modules of finite Gorenstein dimensions?
D Bennis, JR Garcia Rozas, L Oyonarte - 2016 - projecteuclid.org
The relation between the Auslander (resp., Bass) class and the class of modules with finite
Gorenstein projective (resp., injective) dimension is well known when these mentioned …
Gorenstein projective (resp., injective) dimension is well known when these mentioned …
Gorenstein projective and flat complexes over noetherian rings
E Enochs, S Estrada, A Iacob - Mathematische Nachrichten, 2012 - Wiley Online Library
We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
[PDF][PDF] Gorenstein homological algebra
H Holm - Denmark: University of Copenhagen, 2004 - Citeseer
The thesis consists of six papers, of which three are joint work with co-authors. It is a
pleasure to express my gratitude to my advisor Hans-Bjørn Foxby and to my co-authors Lars …
pleasure to express my gratitude to my advisor Hans-Bjørn Foxby and to my co-authors Lars …
One-sided Gorenstein subcategories
W Song, T Zhao, Z Huang - Czechoslovak Mathematical Journal, 2020 - Springer
We introduce the right (left) Gorenstein subcategory relative to an additive subcategory CC
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …
Gorenstein flat and projective (pre) covers
S Estrada, A Iacob, S Odabasi - arXiv preprint arXiv:1508.04173, 2015 - arxiv.org
arXiv:1508.04173v1 [math.AC] 17 Aug 2015 Page 1 arXiv:1508.04173v1 [math.AC] 17 Aug
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …
On stability of Gorenstein categories
A Xu, N Ding - Communications in Algebra, 2013 - Taylor & Francis
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
Gorenstein injective and projective complexes
EE Enochs, JR Garcí Rozas - Communications in Algebra, 1998 - Taylor & Francis
In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …
Liaison classes of modules
U Nagel - Journal of Algebra, 2005 - Elsevier
We propose a concept of module liaison that extends Gorenstein liaison of ideals and
provides an equivalence relation among unmixed modules over a commutative Gorenstein …
provides an equivalence relation among unmixed modules over a commutative Gorenstein …
Transfer properties of Gorenstein homological dimension with respect to a semidualizing module
Z Di, X Yang - Journal of the Korean Mathematical Society, 2012 - koreascience.kr
The classes of $ G_C $ homological modules over commutative ring, where C is a
semidualizing module, extend Holm and J ${\varnothing} $ gensen's notions of C …
semidualizing module, extend Holm and J ${\varnothing} $ gensen's notions of C …